Yes, actually. (Presumably you mean princess, not queen.)
Since you apparently do have extra bees, you can use the extra bee machines - specifically, the Isolator - to get serums from the bee, if I recall correctly. One possible serum is the species serum. You then inoculate some other princess and drone with the species, and voila!
I don't think this hurts the bee, either. You might have to try several times to get the right serum, though.